106577992 has 32 divisors (see below), whose sum is σ = 212349600. Its totient is φ = 50004864.

The previous prime is 106577963. The next prime is 106578001. The reversal of 106577992 is 299775601.

It is a happy number.

It is a super-2 number, since 2×106577992² = 22717736757504128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12988 + ... + 19540.

It is an arithmetic number, because the mean of its divisors is an integer number (6635925).

Almost surely, 2^106577992 is an apocalyptic number.

It is an amenable number.

106577992 is a deficient number, since it is larger than the sum of its proper divisors (105771608).

106577992 is a wasteful number, since it uses less digits than its factorization.

106577992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 46.

The square root of 106577992 is about 10323.6617534671. The cubic root of 106577992 is about 474.1209848611.

The spelling of 106577992 in words is "one hundred six million, five hundred seventy-seven thousand, nine hundred ninety-two".